Atkin-Lehner |
3+ 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
18615b |
Isogeny class |
Conductor |
18615 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
545376 |
Modular degree for the optimal curve |
Δ |
-73019803077691875 = -1 · 323 · 54 · 17 · 73 |
Discriminant |
Eigenvalues |
2 3+ 5+ 3 4 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2025226,-1108725243] |
[a1,a2,a3,a4,a6] |
Generators |
[371753189825396898191150221884596887824590902:94095675044499794925607173513571119149905679249:5799653275764130389174635039398842856952] |
Generators of the group modulo torsion |
j |
-918638006419088473452544/73019803077691875 |
j-invariant |
L |
8.9234593407883 |
L(r)(E,1)/r! |
Ω |
0.063277468519518 |
Real period |
R |
70.510558889028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55845l1 93075r1 |
Quadratic twists by: -3 5 |